648443406688 has 864 divisors, whose sum is σ = 1848543379200. Its totient is φ = 220485888000.

The previous prime is 648443406671. The next prime is 648443406691. The reversal of 648443406688 is 886604344846.

648443406688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9133005693 + ... + 9133005763.

It is an arithmetic number, because the mean of its divisors is an integer number (2139517800).

Almost surely, 2^648443406688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648443406688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924271689600).

648443406688 is an abundant number, since it is smaller than the sum of its proper divisors (1200099972512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

648443406688 is a wasteful number, since it uses less digits than its factorization.

648443406688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 61.

The spelling of 648443406688 in words is "six hundred forty-eight billion, four hundred forty-three million, four hundred six thousand, six hundred eighty-eight".